核心概念
Studying boundary stabilization of the Kuramoto-Sivashinsky equation under intermittent sensing scenarios.
摘要
The content discusses adaptive boundary control for the Kuramoto-Sivashinsky equation under intermittent sensing conditions. It explores stabilization strategies, feedback laws, and stability properties under different assumptions on the forcing term. The study focuses on L2 stability, global exponential stability, input-to-state stability, and global uniform ultimate boundedness. Various algorithms and theorems are presented to address different scenarios and ensure stability in the system.
統計資料
We assume that we measure the state of the spatio-temporal equation on a given spatial subdomain during certain intervals of time.
Adaptive boundary controllers are designed under different assumptions on the forcing term.
The destabilizing coefficient is assumed to be space-dependent and bounded but unknown.
Numerical simulations are performed to illustrate the results.
引述
"We study in this paper boundary stabilization, in the L2 sense, of the one-dimensional Kuramoto-Sivashinsky equation subject to intermittent sensing."
"As a result, we assign a feedback law at the boundary of the spatial domain and force to zero the value of the state at the junction of the two subdomains."